Importance of self-consistency in relativistic continuum random-phase approximation calculations

Importance of self-consistency in relativistic continuum random-phase approximation calculations
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自洽在相对论连续随机相位近似计算中的重要性

DOI:
10.1103/physrevc.82.054305
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发表时间:
2010-11
期刊:
影响因子:
3.1
通讯作者:
Yang, Ding
Yang, Ding
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Cao, Li-Gang;Ma, Zhong-Yu;Tian, Yuan;Yang, Ding

文献摘要

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构造了一个完全一致的相对论连续谱随机位相近似(RCRPA),其中连续谱对核激发的贡献由单粒子格林函数技术精确处理。当基态和激发态采用相同的有效拉格朗日时,计算结果完全一致。在无海近似下,狄拉克海中的负能态也包含在单粒子格林函数中。精确地处理了RCRPA中矢量介子和光子交换以及库仑相互作用产生的电流。自旋-轨道相互作用自然包含在相对论框架内。用约束相对论平均场理论对RCRPA的数值结果进行了验证。我们研究了不同集体多极激发中的不一致性,特别是电流和库仑相互作用的影响。
A fully consistent relativistic continuum random phase approximation (RCRPA) is constructed, where the contribution of the continuum spectrum to nuclear excitations is treated exactly by the single-particle Green's function technique. The full consistency of the calculations is achieved that the same effective Lagrangian is adopted for the ground state and the excited states. The negative energy states in the Dirac sea are also included in the single-particle Green's function in the no-sea approximation. The currents from the vector meson and photon exchanges and the Coulomb interaction in RCRPA are treated exactly. The spin-orbit interaction is included naturally in the relativistic frame. Numerical results of the RCRPA are checked with the constrained relativistic mean-field theory. We study the effects of the inconsistency, particularly the currents and Coulomb interaction in various collective multipole excitations.